On single interior spike solutions of the Gierer-Meinhardt system: uniqueness and spectrum estimates

被引：147

作者：

Wei, JC ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Dept Math, Shatin, Peoples R China

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 1999年 / 10卷

关键词：

D O I：

10.1017/S0956792599003770

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the interior spike solutions to a steady state problem of the shadow system of the Gierer-Meinhardt system arising from biological pattern formation. We first show that at a non-degenerate peak point the interior spike solution is locally unique, and then we establish the spectrum estimates of the associated linearized operator. We also prove that the corresponding solution to the shadow system is unstable. Furthermore, the metastability of such solutions is analysed.

引用

页码：353 / 378

页数：26